The document contains 22 practice problems involving finding missing sides of triangles using properties of special right triangles. The triangles have angles of either 45-45-90 degrees or 30-60-90 degrees. Students are tasked with calculating the missing sides based on given information like hypotenuse lengths or existing side lengths using trigonometric ratios like sine, cosine and tangent that are applicable to the two special right triangle types.

1. Two Special Right Triangles Practice Problems

2. Find the two missing sides for the triangles Y X 9 1. 45° 45°

3. Find the two missing sides for the triangles Y X 8  2 2. 45° 45°

4. Find the two missing sides for the triangles Y X 5  2 3. 45° 45°

5. Find the two missing sides for the triangles 4.

6. Find the two missing sides for the triangles Y X 11  2 5. 45° 45°

7. Find the two missing sides for the triangles Y X 4 30° 6.

8. Find the two missing sides for the triangles Y X 9 30° 7.

9. Find the two missing sides for the triangles Y X 5 30° 8.

10. Find the two missing sides for the triangles Y X 14 30° 9.

11. Find the two missing sides for the triangles 10.

12. Find the two missing sides for the triangles Y X 19 11. 45° 45°

13. Find the two missing sides for the triangles Y X 11  3 30° 12.

14. Find the two missing sides for the triangles 13.

15. Find the two missing sides for the triangles Y X 10 60° 14.

16. Find the two missing sides for the triangles Y X  5 15. 45° 45°

17. Find the two missing sides for the triangles 16.

18. Find the two missing sides for the triangles Y X 3  2 17. 45° 45°

19. Find the two missing sides for the triangles 18.

20. Find the two missing sides for the triangles 19.

21. Find the two missing sides for the triangles Y X 11 60° 20.

22. Find the two missing sides for the triangles Y X 10 21. 45° 45°

23. Find the two missing sides for the triangles Y X 18 30° 22.

25. Find the two missing sides for the triangles Y X 9 9 9  2 1. 45° 45°

26. Find the two missing sides for the triangles Y X 8  2 8 8 2. 45° 45°

27. Find the two missing sides for the triangles Y X 5  2 5  2 10 3. 45° 45°

28. Find the two missing sides for the triangles 22 11  2 4.

29. Find the two missing sides for the triangles Y X 11  2 11 11 5. 45° 45°

30. Find the two missing sides for the triangles Y X 4 4  3 8 30° 6.

31. Find the two missing sides for the triangles Y X 9 9  3 18 30° 7.

32. Find the two missing sides for the triangles Y X 5 10 5  3 30° 8.

33. Find the two missing sides for the triangles Y X 14 7  3 7 30° 9.

34. Find the two missing sides for the triangles 10  3 20 10.

35. Find the two missing sides for the triangles Y X 19 19  2 19 11. 45° 45°

36. Find the two missing sides for the triangles Y X 11  3 22 11 30° 12.

37. Find the two missing sides for the triangles 6  2 6  2 13.

38. Find the two missing sides for the triangles Y X 10 5  3 5 60° 14.

39. Find the two missing sides for the triangles Y X  5  10  5 15. 45° 45°

40. Find the two missing sides for the triangles 7 7  3 16.

41. Find the two missing sides for the triangles Y X 3  2 3  2 6 17. 45° 45°

42. Find the two missing sides for the triangles 5 10 18.

43. Find the two missing sides for the triangles 8 8  2 19.

44. Find the two missing sides for the triangles Y X 11 5.5  3 5.5 60° 20.

45. Find the two missing sides for the triangles Y X 10 5  2 5  2 21. 45° 45°

46. Find the two missing sides for the triangles Y X 18 9  3 9 30° 22.

48. Find x, y and the area of the equilateral triangle. 9 9  3 Area = 81  3

49. Find the length, the perimeter, and the area of the rectangle. 10  3 Perimeter = 20+20  3 Area = 100  3